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6248064 = 27353307
BaseRepresentation
bin10111110101011010000000
3102202102201210
4113311122000
53044414224
6341530120
7104051634
oct27653200
912672653
106248064
113588299
122113940
1313a9ba4
14b88dc4
15836429
hex5f5680

6248064 has 64 divisors (see below), whose sum is σ = 16964640. Its totient is φ = 2036736.

The previous prime is 6248059. The next prime is 6248069. The reversal of 6248064 is 4608426.

It is an interprime number because it is at equal distance from previous prime (6248059) and next prime (6248069).

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (6248069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20199 + ... + 20505.

Almost surely, 26248064 is an apocalyptic number.

6248064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482320).

6248064 is an abundant number, since it is smaller than the sum of its proper divisors (10716576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6248064 is a wasteful number, since it uses less digits than its factorization.

6248064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 6248064 is about 2499.6127700106. The cubic root of 6248064 is about 184.1825535412.

The spelling of 6248064 in words is "six million, two hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 307 318 384 424 614 636 848 921 1228 1272 1696 1842 2456 2544 3392 3684 4912 5088 6784 7368 9824 10176 14736 16271 19648 20352 29472 32542 39296 48813 58944 65084 97626 117888 130168 195252 260336 390504 520672 781008 1041344 1562016 2082688 3124032 6248064